0 votes
in Trigonometry by (53.5k points)

A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be 

(A)  1 

(B)  2 

(C)  3/2 

(D)  4

1 Answer

+1 vote
by (53.8k points)
selected by
Best answer

Correct option (D) 4

Let the vertices of the triangle be (cosθi , sinθi), i = 1, 2, 3

⇒ Orthocentre is ((cosθ1 + cosθ2 + cosθ3),(sinθ1 + sinθ2 + sinθ3))

⇒ Distance between the orthocentre and the circumcentre is

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.